Abstract—The self-similarity effect during rarefied water vapor flow between two finite-volume vessels is repeatedly recorded with a similarity coefficient of 3/4. The concept of hybrid water molecules is defined and a theoretical model describing the behavior of such molecules when sampling a water vapor is constructed. The model describes translational motion of water molecules near the gas–condensed matter interface taking into account the effect of force fields resulting in curvilinear trajectories of molecules. The model uses fibre bundle and Markov chain constructions. A new method for determining the similarity coefficient, based on a comparison of pressure curves as functions of time, which significantly improves the accuracy of the similarity coefficient determination, is proposed.

中文翻译：

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利用自相似效应和4D空间，水分子在气体与冷凝物界面附近的平移运动

摘要—重复记录了两个有限体积容器之间稀有水蒸气流动期间的自相似效应，其相似系数为3/4。定义了混合水分子的概念，并建立了一个理论模型来描述这种分子在采样水蒸气时的行为。该模型考虑了力场对分子曲线轨迹的影响，描述了水分子在气体-冷凝物界面附近的平移运动。该模型使用纤维束和马尔可夫链构造。提出了一种基于压力曲线随时间变化的相似系数确定方法，该方法大大提高了相似系数确定的准确性。